Algebraic Curves in Cryptography

Systematically addressing the many applications of algebraic geometry to cryptography and coding theory, this book provides an introduction to important concepts and demonstrates how to facilitate the new and fruitful connections between the two exciting areas of algebraic geometry and cryptography. It expound on a wide range of applications such as secret sharing, authentication codes, key distributions, frameproof codes, signatures, and broadcast encryption. Each chapter contains a section to show the connections between algebraic geometry and the specified cryptographic topic and to demonstrate how algebraic geometry is used.